2017/01/31 by Louise E. Anderson, Louise Anderson, Nadav Drukker
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Distribution (mathematics) #Focus (optics) #Gauge (firearms) #Gauge theory #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Standard Model (mathematical formulation) #Supersymmetric gauge theory #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1751-8121/aa7e11
15 pages, 7 figures. v2: typos corrected
openalex created_date 2017/01/26 · arxiv created 2017/07/04 · openalex publication_date 2017/07/11 · arxiv updated 2017/09/13 · openalex updated_date 2026/08/05
Abstract In this paper we study the large N solution to matrix models describing the partition functions of 3d supersymmetric gauge theories on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:msup> <mml:mrow> <mml:mi mathvariant="double-struck">S</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:mstyle> </mml:math> . The model we focus on has a single <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mstyle displaystyle="false"> <mml:mi>U</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>N</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mstyle> </mml:math> gauge group and fundamental fields, whose number scales with N , also known as the Veneziano limit. The novel point in our model is our choice of masses for the fundamental fields. Instead of vanishing or fixed masses, we consider a linear distribution. We show that the model can still be solved by standard large N techniques and explore the different phases of the model. We also comment about other natural mass distributions.